Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | #496×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3155 |
596 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|b^2=eg,c^2=f,e^2=g,b^a=be,c^a=cf,e^a=eg,h^b=h^88,d^c=dg,h^d=h^88736 conjugacy classes — view the full character table.
| maximal quotient of | #36542288, #36542292, #36542332, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 14994);